Here's the question:
In a city there are 3 motorcycle sellers. Each seller make it's own motorcycle and sell it to people. In a day about 1000 motorcycles are sold in the city. The probability that a seller's bike would be sold is given by \(P_n\) where n is the particular seller. Given \(P_1 = 2/8\), \(P_2 = 4/8\), \(P_3 = 6/8\), find the expected number of motorcycles sold by each seller.
I made this question. I am not sure if the question is technically correct or not. I further doubt if \(P_1 + P_2 + P_3 = 1\) is a necessary condition or not.
Help me figuring it out.